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Finding the Third Proportional to 85,201 and 128,995

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Solution

The third proportional to 85,201 and 128,995 is: 195,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,201 : 128,995 = 128,995 : x
  2. Step 2: Convert to fraction form
    85,201/128,995 = 128,995/x
  3. Step 3: Cross multiply
    85,201x = 128,995 × 128,995
  4. Step 4: Simplify right side
    85,201x = 16,639,710,025
  5. Step 5: Solve for x
    x = 16,639,710,025/85,201
  6. Step 6: Final answer
    x = 195,299.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.